Multiple choice

A hydraulic structure has four gates which operate independently. The probability of failure of each gate is 0.2. Given that gate I has failed, the probability that both gates 2 and 3 will fail is

  1. 0.240

  2. 0.200

  3. 0.040

  4. 0.008
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C Correct answer
Explanation

The gates operate independently. The probability of failure of each gate is 0.2. Given gate 1 has failed, the probability of gates 2 and 3 failing is P(2 fails) * P(3 fails) = 0.2 * 0.2 = 0.04.

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